The human body can survive a negative acceleration trauma incident if the magnitude of the acceleration is less than 250 m/s^2. If you are in an automobile accident at an initial speed of 96 km/h and are stopped by an airbag that inflates from the dashboard, over what distance must the airbag stop you for you to survive the crash?(adsbygoogle = window.adsbygoogle || []).push({});

So I know that [itex] v_{0} = 96 [/itex], [itex] v_{x} = 0 [/itex] and [itex] a_{x} = 250 [/itex]. So is it correct to say [itex] v_{x} = v_{x}_{0} + a_{x}t [/itex] to find the time, or [itex] 0 = 96-250t [/itex] and [itex] t = 0.384 sec [/itex]? Then you use [itex] x-x_{0} = v_{x}_{0}t + \frac{1}{2}a_{x}t^{2} [/itex] and you get the distance to be [itex] 18.432 m [/itex]

Is this correct?

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Kinematic problems

**Physics Forums | Science Articles, Homework Help, Discussion**